MATH 4847 - Introduction to Applied Mathematics
Fall 2026 Syllabus, Section 01, CRN 42764,
Credit hours: 3
Course Meeting Times
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Instructor
Jozsef Jalics
Email: jalics@ysu.edu
Course Description
4847. Introduction to Applied Mathematics. This course surveys topics in applied mathematics and may include scaling, perturbation methods, stationary phase analysis, multi-scale asymptotics, transform methods, Green's functions, discrete models, the calculus of variations, or optimization. Prereq.: C or better in MATH 2673 and MATH 3705. 3 s.h.
Course Readings
| Group | Title | Author | ISBN |
|---|---|---|---|
| Required | Applied Mathematics, 4th Edition | J. David Logan |
Additional Optional Course Materials:
Nonlinear Dynamics and Chaos. Steven H. Strogatz
Differential Equations, Dynamical Systems, & an Introduction to Chaos. Hirsch, Smale, and Devaney
Partial Differential Equations: An Introduction. Walter A. Strauss.
The course readings are subject to change in the event of extenuating circumstances, research developments, current events, and/or to ensure better learning.
Assignments/Assessments
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Schedule of Topics and Assignments
| Week of | Reading(s) | Proposed Topic | Due/To Prepare for Class |
|---|---|---|---|
| 8/24 | Ch. 1 | Dimensional Analysis | |
| 8/31 | Ch. 1 | Dimensional Analysis | |
| 9/7 | Ch. 2 | Linear & Nonlinear Dynamical Systems, Bifurcation analysis | |
| 9/14 | Ch. 2 | Linear & Nonlinear Dynamical Systems, Bifurcation analysis | |
| 9/21 | Ch. 2 | Linear & Nonlinear Dynamical Systems, Bifurcation analysis | |
| 9/28 | Ch. 2 | Linear & Nonlinear Dynamical Systems, Bifurcation analysis | |
| 10/5 | Ch. 2 | Linear & Nonlinear Dynamical Systems, Bifurcation analysis | |
| 10/12 | Ch. 3 | Perturbation Methods and Asymptotic Expansions | |
| 10/19 | Ch. 3 | Perturbation Methods and Asymptotic Expansions | |
| 10/26 | Ch. 3 | Perturbation Methods and Asymptotic Expansions | |
| 11/2 | Ch. 3 | Perturbation Methods and Asymptotic Expansions | |
| 11/9 | Ch. 5-6 | Boundary Value Problems, Integral Equations, PDEs | |
| 11/16 | Ch. 5-6 | Boundary Value Problems, Integral Equations, PDEs | |
| 11/23 | Ch. 5-6 | Boundary Value Problems, Integral Equations, PDEs | |
| 11/30 | Ch. 5-6 | Boundary Value Problems, Integral Equations, PDEs | |
| 12/7 | Final Exam week | Final: Tuesday, Dec. 8 3:15-5:15 PM |
The course schedule, policies, procedures, and assignments in this course are subject to change in the event of extenuating circumstances, by mutual agreement, and/or to ensure better learning.